### p-adic L-functions and p-adic periods of modular forms.

Glenn Stevens, Ralph Greenberg (1993)

Inventiones mathematicae

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Glenn Stevens, Ralph Greenberg (1993)

Inventiones mathematicae

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Haruzo Hida (1996)

Mémoires de la Société Mathématique de France

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John Coates (1988-1989)

Séminaire Bourbaki

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Jeremy T. Teitelbaum (1990)

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Fukaya, Takako (2003)

Documenta Mathematica

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Ken Kamano (2010)

Acta Arithmetica

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Fernando Q. Gouvêa, Barry Mazur (1993)

Annales de l'institut Fourier

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We show that the coefficients of the characteristic power series of Atkin’s U operator acting on overconvergent $p$-adic modular forms of weight $k$ vary $p$-adically continuously as functions of $k$. Are they in fact Iwasawa functions of $k$ ?

Haruzo Hida (1985)

Inventiones mathematicae

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Michael Harris (1980)

Compositio Mathematica

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